We have to
solve for x: x^3 +x^2 +x +1 = 0
x^3 +x^2 +x +1 = 0
=>
x^2( x + 1) + 1(x + 1) = 0
=> (x^2 + 1)(x + 1) = 0
x +
1 = 0
=> x = -1
x^2 + 1 = 0
=>
x^2 = -1
=> x = i , -i
The values of x
are -1 , i , -i
This is an enormous question that can't really be answered fully in this small space. But a few generalizations can be made. Bo...
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